Details

Time bar (total: 24.4s)

sample122.0ms

Algorithm
intervals
Results
80.0ms426×body80valid

simplify150.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
150.0ms
(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma i c (fma a b (fma x y (* z t))))
0.0b
(fma x y (* z t))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
2×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef insert-posit16 log1p-expm1-u add-log-exp
Counts
2 → 22
Calls
2 calls:
Slowest
1.0ms
(fma i c (fma a b (fma x y (* z t))))
0.0ms
(fma x y (* z t))

series425.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
356.0ms
(fma i c (fma a b (fma x y (* z t))))
69.0ms
(fma x y (* z t))

simplify93.0ms

Counts
6 → 28
Calls
6 calls:
Slowest
37.0ms
(+ (* a b) (+ (* t z) (* x y)))
33.0ms
(+ (* a b) (+ (* t z) (* x y)))
9.0ms
(+ (* t z) (* x y))
8.0ms
(+ (* t z) (* x y))
2.0ms
0

prune401.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma i c (fma a b (fma t z (* x y))))
0.0b
(fma t z (* x y))

rewrite1.0ms

Algorithm
rewrite-expression-head
Rules
2×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef insert-posit16 log1p-expm1-u add-log-exp
Counts
2 → 22
Calls
2 calls:
Slowest
0.0ms
(fma i c (fma a b (fma t z (* x y))))
0.0ms
(fma t z (* x y))

series414.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
344.0ms
(fma i c (fma a b (fma t z (* x y))))
70.0ms
(fma t z (* x y))

simplify122.0ms

Counts
6 → 28
Calls
6 calls:
Slowest
52.0ms
(+ (* a b) (+ (* t z) (* x y)))
28.0ms
(+ (* a b) (+ (* t z) (* x y)))
18.0ms
(+ (* t z) (* x y))
18.0ms
(+ (* t z) (* x y))
1.0ms
0

prune429.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (fma i c (fma a b (fma t z (* x y))))) (cbrt (fma i c (fma a b (fma t z (* x y))))))
0.5b
(cbrt (fma i c (fma a b (fma t z (* x y)))))
0.5b
(cbrt (fma i c (fma a b (fma t z (* x y)))))
0.5b
(cbrt (fma i c (fma a b (fma t z (* x y)))))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×expm1-log1p-u add-cbrt-cube insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 85
Calls
4 calls:
Slowest
24.0ms
(* (cbrt (fma i c (fma a b (fma t z (* x y))))) (cbrt (fma i c (fma a b (fma t z (* x y))))))
2.0ms
(cbrt (fma i c (fma a b (fma t z (* x y)))))
1.0ms
(cbrt (fma i c (fma a b (fma t z (* x y)))))
1.0ms
(cbrt (fma i c (fma a b (fma t z (* x y)))))

series748.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
218.0ms
(* (cbrt (fma i c (fma a b (fma t z (* x y))))) (cbrt (fma i c (fma a b (fma t z (* x y))))))
191.0ms
(cbrt (fma i c (fma a b (fma t z (* x y)))))
173.0ms
(cbrt (fma i c (fma a b (fma t z (* x y)))))
166.0ms
(cbrt (fma i c (fma a b (fma t z (* x y)))))

simplify8.7s

Counts
65 → 97
Calls
65 calls:
Slowest
349.0ms
(exp (* -1/3 (+ (log (/ -1 i)) (log (/ -1 c)))))
312.0ms
(exp (* -1/3 (+ (log (/ -1 i)) (log (/ -1 c)))))
299.0ms
(exp (* -1/3 (+ (log (/ -1 i)) (log (/ -1 c)))))
266.0ms
(exp (* 1/3 (+ (log y) (log x))))
262.0ms
(exp (* -1/3 (+ (* 2 (log (/ -1 i))) (* 2 (log (/ -1 c))))))

prune1.6s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

36.0b
(cbrt (* (* (fma x y (* z t)) (fma x y (* z t))) (fma x y (* z t))))
0.3b
(* (fma x y (* z t)) (fma x y (* z t)))
0.2b
(* (* (fma x y (* z t)) (fma x y (* z t))) (fma x y (* z t)))
0.0b
(fma i c (fma a b (cbrt (* (* (fma x y (* z t)) (fma x y (* z t))) (fma x y (* z t))))))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
30×pow1
12×add-sqr-sqrt
11×add-cbrt-cube add-exp-log
9×*-un-lft-identity add-cube-cbrt
7×pow-plus pow-prod-up
6×associate-*r*
5×fma-udef
4×expm1-log1p-u associate-*l* pow-prod-down prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
3×pow2 swap-sqr pow-sqr
2×distribute-rgt-in distribute-lft-in pow3 *-commutative unswap-sqr
1×cbrt-prod pow1/3 rem-cbrt-cube
Counts
4 → 87
Calls
4 calls:
Slowest
23.0ms
(* (* (fma x y (* z t)) (fma x y (* z t))) (fma x y (* z t)))
11.0ms
(cbrt (* (* (fma x y (* z t)) (fma x y (* z t))) (fma x y (* z t))))
6.0ms
(* (fma x y (* z t)) (fma x y (* z t)))
0.0ms
(fma i c (fma a b (cbrt (* (* (fma x y (* z t)) (fma x y (* z t))) (fma x y (* z t))))))

series714.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
362.0ms
(fma i c (fma a b (cbrt (* (* (fma x y (* z t)) (fma x y (* z t))) (fma x y (* z t))))))
194.0ms
(* (* (fma x y (* z t)) (fma x y (* z t))) (fma x y (* z t)))
96.0ms
(* (fma x y (* z t)) (fma x y (* z t)))
62.0ms
(cbrt (* (* (fma x y (* z t)) (fma x y (* z t))) (fma x y (* z t))))

simplify4.6s

Counts
63 → 99
Calls
63 calls:
Slowest
511.0ms
(* (* (* (fma x y (* z t)) (fma x y (* z t))) (fma x y (* z t))) (* (* (fma x y (* z t)) (fma x y (* z t))) (fma x y (* z t))))
311.0ms
(* (* z t) (* (fma x y (* z t)) (fma x y (* z t))))
303.0ms
(+ (log (* (fma x y (* z t)) (fma x y (* z t)))) (log (fma x y (* z t))))
298.0ms
(+ (* (pow t 2) (pow z 2)) (+ (* 2 (* t (* x (* z y)))) (* (pow x 2) (pow y 2))))
298.0ms
(+ (* (pow t 2) (pow z 2)) (+ (* 2 (* t (* x (* z y)))) (* (pow x 2) (pow y 2))))

prune1.9s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes1.2s

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch1.0ms

end0.0ms

sample2.7s

Algorithm
intervals
Results
1.9s13737×body80valid